A car starts from point X on a circular track and an SUV starts from point Y, which is 750 meters ahead of X in the direction of motion. The car's speed is 17 m/s and the SUV's speed is 12 m/s. The circumference of the track is 120 km. How much distance will the car have traveled when it first overtakes the SUV?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2550 m.
Circumference of track = 120 km = 120000 m
Relative speed = 17 - 12 = 5 m/s
Time to catch up the initial 750 m gap = 750/5 = 150 sec
Distance traveled by the car in 150 seconds = 17 × 150 = 2550 m